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    Log Base 4 of 8

    Logarithm Calculator
    Log base
    x

    What is log₄ 8?

    Answer

    log4 8 =
    3/2 = 1.5

    log4 is the log base 4.

    log4 8 is the power you raise 4 to, to get 8: 4y = 8.

    43/2 = (√4)³ = 2³ = 8 ✓

    Oxy1

    Answer point (8, 3/2).

    The curve y = log4 x passes through (1, 0) and (4, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

    Log of 8 in different bases
    BaseNotationValue
    eln 8≈ 2.0794
    10log 8≈ 0.9031
    2log₂ 83
    4log₄ 83/2

    See Also

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    https://calculat.io/en/number/logarithm/4--8Copy
    <a href="https://calculat.io/en/number/logarithm/4--8">Log Base 4 of 8 (log₄ 8) - Calculatio</a>Copy
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    Log Base 4 of 8 (log₄ 8). log₄ 8 = 3/2 = 1.5: the power you raise 4 to, to get 8. With the check and the graph.
    https://calculat.io/en/number/logarithm/4--8/generated.jpgCopy

    Log base 4 of nearby numbers

    xlog₄ x
    41
    5≈ 1.1610
    6≈ 1.2925
    83/2
    162
    25≈ 2.3219
    643
    Recalculate with different values ↑

    FAQ

    What is log₄ 8?

    log₄ 8 = 3/2 = 1.5

    Why is log₄ 8 a fraction?

    Both numbers are powers of 2: 4 = 2² and 8 = 2³, so 8 = 4^(3/2) and log₄ 8 = 3/2 = 1.5.

    What does log without a base mean?

    At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.

    See Also